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arxiv: math/0303273 · v3 · submitted 2003-03-21 · 🧮 math.GT

Estimates for the minimal crossing number

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keywords crossingestimatesnumberlinksminimalpolynomialadditiveapplied
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In this paper I give estimates for the minimal crossing number, leading to a short proof that the crossing number is additive for torus links. These estimates are applied to several classes of links. Finally, I prove a part of a conjecture relating the HOMFLY polynomial and the Kauffman polynomial.

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